Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/98,462/67,132/665
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 532,462,132
Greatest Common Factor of Numerators i.e. GCF of 532,462,132 is 2 .
LCM of Denominators means LCM of 98,67,665 as per the given fractions.
LCM of 98,67,665 is 623770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 532,462,132
2 | 532, 462, 132 |
266, 231, 66 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 532,462,132 . The biggest common factor number is the GCF number.
So the greatest common factor 532,462,132 is 2.
Lets's calculate LCM of 98,67,665
7 | 98, 67, 665 |
14, 67, 95 |
∴ So the LCM of the given numbers is 7 x 14 x 67 x 95 = 623770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/623770
Therefore, the GCF of Fractions 532/98,462/67,132/665 is 2/623770
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 98,67,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,67,665) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(98,67,665) x common factors =1 x 7 = 7
LCM(98,67,665) = ( 98 × 67 × 665 ) / 7
LCM(98,67,665) = 4366390 / 7
LCM(98,67,665) = 623770
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 532/98, 462/67, 132/665?
Answer: GCF of Numerators as per given numbers 532/98, 462/67, 132/665 is
GCF of Numerators i.e. for 532,462,132 is 2
LCM of denominators i.e. for 98,67,665 is 623770.
Thus, GCF of Fractions is 2/623770.Finally, GCF of Fractions for 532/98, 462/67, 132/665 is 2/623770.